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Finding the Fourth Proportional to 17,646.12, 26,449.02 and 7,245

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Solution

The fourth proportional to 17,646.12, 26,449.02 and 7,245 is: 10,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.12 : 26,449.02 = 7,245 : x
  2. Step 2: Convert to fraction form
    17,646.12/26,449.02 = 7,245/x
  3. Step 3: Cross multiply
    17,646.12x = 26,449.02 × 7,245
  4. Step 4: Simplify right side
    17,646.12x = 191,623,149.90
  5. Step 5: Solve for x
    x = 191,623,149.90/17,646.12
  6. Step 6: Final answer
    x = 10,859.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.